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Finding the Third Proportional to 85,867 and 186,519

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Solution

The third proportional to 85,867 and 186,519 is: 405,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,867 : 186,519 = 186,519 : x
  2. Step 2: Convert to fraction form
    85,867/186,519 = 186,519/x
  3. Step 3: Cross multiply
    85,867x = 186,519 × 186,519
  4. Step 4: Simplify right side
    85,867x = 34,789,337,361
  5. Step 5: Solve for x
    x = 34,789,337,361/85,867
  6. Step 6: Final answer
    x = 405,153.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.